Generic singularities of minimax solutions to Hamilton--Jacobi equations

Details Generic singularities of minimax solutions to Hamilton--Jacobi equations Generic singularities of minimax solutions to Hamilton--Jacobi equations

2004-07-05

arxiv.org/abs/math/0407067v1

Mathematics

Differential Geometry

To appear in Journal of Geometry and Physics

Scientific paper

10.1016/j.geomphys.2004.04.006

Minimax solutions are weak solutions to Cauchy problems involving
Hamilton--Jacobi equations, constructed from generating families quadratic at
infinity of their geometric solutions. We give a complete description of
minimax solutions and we classify their generic singularities of codimension
not greater than 2.

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